Question

Which of the following sets of numbers could represent the three sides of a triangle

A 6,20,28
b 4,11,15
c 9,19,30
d 5,15,19​

Answer 1

d 5,15,19​

Explanation:

The sum of the shortest two sides must be longer than the longest side. That is only the case for selection D.

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If the sum is equal to the longest side, the segment ends will meet, but the "triangle" will look like a line segment. Many authors do not allow such a thing to be called a triangle. Hence, 'b' is not an answer to this question.

(Some authors do allow such a triangle, in which case, there would be two answers here: B and D.)